In this paper I expose and criticise the distinction between pure indexicals and demonstratives, held by David Kaplan and John Perry. I oppose the context of material production of the utterance to the “intended context” (the context of interpretation, i.e. the context the speaker indicates as semantically relevant): this opposition introduces an intentional feature into the interpretation of pure indexicals. As far as the indexical I is concerned, I maintain that we must distinguish between the material producer of the utterance containing I and the “intended agent of the context” - i.e. the individual designated by the material producer as the responsible for the utterance.